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A quadrilateral is a polygon with FOUR sides. Q S R P It is named by its VERTICES in a clockwise position. *The figure above is named PQRS, QRSP, RSPQ, or SPQR. 2 31 4 REMEMBER :The order of the vertices is important !

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TERMS : D C B A In quadrilateral ABCD, the vertices are A, B, C and D. Vertices A and B, B and C, C and D, D and A are consecutive vertices. Vertices A and C, B and D, are opposite vertices.

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A B D C Two sides with a common vertex, like AB and BC, are consecutive sides. AB, and DC, AD and BC, on the other hand are opposite sides.

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` D BA C Two angles with a common side, like
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A B C D Segments joining opposite vertices like AC and BD are called diagonals of the quadrilateral.

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KINDS of QUADRILATERALS : M N O P Q R S T CONVEX NONCONVEX Diagonals of quadrilateral intersect. Diagonals of quadrilateral do not intersect

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TYPES of QUADRILATERALS : Trapezoid Parallelogram Rectangle Rhombus Square Quadrilateral

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TRAPEZOID A trapezoid is a quadrilateral with exactly a pair of parallel sides. base angles base leg *If the legs are congruent, trapezoid is an isosceles. *If a quadrilateral has no parallel sides, it is called a trapezium.

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PARALLELOGRAM A parallelogram is a quadrilateral with two pairs of congruent and parallel sides.

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RECTANGLE A rectangle is a parallelogram with four right angles.

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RHOMBUS A rhombus is a parallelogram with four congruent sides.

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SQUARE A square is a parallelogram with four congruent sides and four congruent angles.

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Parallelogram Rhombus Rectangle Square REMEMBER ! always sometimes

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MARIVIC M. MARQUINEZ II – B BSE Mathematics

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